Pumping current and conductance of a Luttinger liquid in the presence of two time-dependent impurities at finite temperature

We study the pumping current and the conductance in a Tomonaga-Luttinger liquid in the presence of two time-dependent point like weak impurities, taking into account finite-temperature effects. We investigate the different regimes which can be established as function of the frequency, the temperature and the separation between the impurity potentials. We show how the previous zero temperature or single impurity results are distorted.